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A students is asked to answer 10out of 13 questions in an examination such that he must answer at least four questions from the first five questions. The number of choice available to him is

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280

176

140

196

answer is C.

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Detailed Solution

A (5)	B (8)
5	5
4	6

Number of ways of answering 10 questions out of 13 such that at least four from first 5

$= 5_{C_{4}} \times 8_{C_{6}} + 5_{C_{5}} \times 8_{C_{5}} = 5 \times 28 + 1 \times 56 = 140 + 56 = 196$

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